What is the Greatest Common Factor of 18132 and 18146?

Greatest common factor (GCF) of 18132 and 18146 is 2.

GCF(18132,18146) = 2

We will now calculate the prime factors of 18132 and 18146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18132 and 18146.

How to find the GCF of 18132 and 18146?

We will first find the prime factorization of 18132 and 18146. After we will calculate the factors of 18132 and 18146 and find the biggest common factor number .

Step-1: Prime Factorization of 18132

Prime factors of 18132 are 2, 3, 1511. Prime factorization of 18132 in exponential form is:

18132 = 2² × 3¹ × 1511¹

Step-2: Prime Factorization of 18146

Prime factors of 18146 are 2, 43, 211. Prime factorization of 18146 in exponential form is:

18146 = 2¹ × 43¹ × 211¹

Step-3: Factors of 18132

List of positive integer factors of 18132 that divides 18132 without a remainder.

1, 2, 3, 4, 6, 12, 1511, 3022, 4533, 6044, 9066

Step-4: Factors of 18146

List of positive integer factors of 18146 that divides 18132 without a remainder.

1, 2, 43, 86, 211, 422, 9073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18132 and 18146. The biggest common factor number is the GCF number.
So the greatest common factor 18132 and 18146 is 2.

Also check out the Least Common Multiple of 18132 and 18146